Calculus - Integration - Differentiate ... hence find problems.
Test Yourself 1 - Solutions.
| Non logs. | 1. (i)
(ii) |
2. (i) (ii) |
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3. (i) (ii) |
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4. (i) (ii) |
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5. (i) (ii) |
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| 6. | |
| Logarithms. | 13. (i) Differentiate y = (ln x)2.
(ii) Hence evaluate
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14. (i) If show that
(ii) Hence or otherwise evaluate
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15. (i) Show that .
(ii) Hence evaluate |
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16. Differentiate loge (loge x) and hence evaluate . |
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| 17. | |
| 18. | |
| Trig functions | 19. (i) Differentiate loge (cosx) with respect to x.
(ii)
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20. (i) Differentiate sin2x - cos4x (ii) Hence evaluate
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| 21. |
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22. (i) (ii) |
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23. (i) (ii) |
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| 24. |